Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

doi:10.1103/physrevd.96.026017

Mock modular index of M2-M5 brane systems

Okazaki, Tadashi; Smith, Douglas J.

Authors

Tadashi Okazaki

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

Abstract

We present Bogomolny-Prasad-Sommerfield (BPS) indices of the supergroup Wess-Zumino-Witten (WZW) models that live on intersecting M2-M5-brane systems. They can encode data of the stretched M2-branes between M5-branes and count the BPS states. They are generally expressed in terms of mock theta functions via the Kac-Wakimoto character formula of the affine Lie superalgebra. We give an explicit expression of the index for the PSLð2j2Þk¼1 WZW model in terms of the second-order multivariable AppellLerch sum. It indicates that wall crossing occurs in the BPS state counting due to the C field on the M5-branes.

Citation

Okazaki, T., & Smith, D. J. (2017). Mock modular index of M2-M5 brane systems. Physical Review D, 96(2), Article 026017. https://doi.org/10.1103/physrevd.96.026017

Journal Article Type	Article
Acceptance Date	Jun 7, 2017
Online Publication Date	Jul 21, 2017
Publication Date	Jul 21, 2017
Deposit Date	Jul 24, 2017
Publicly Available Date	Jul 31, 2017
Journal	Physical Review D
Print ISSN	2470-0010
Electronic ISSN	2470-0029
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	96
Issue	2
Article Number	026017
DOI	https://doi.org/10.1103/physrevd.96.026017

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